Question

how do i find the area between f(x)= x^2+1 and g(x)= 11-x^2

Answer 1

\[\int\limits_{a}^{b}(g(x) - f(x)) dx\]

Answer 2

you need to have bounds; if the two cross paths you can use that, but an interval is usually stated.

Answer 3

i found the bounds to be -sqrt(5) and sqrt(5) but when i put them into the integral equation, i get some crazy number that isn't right...

Answer 4

Did you integrate yet?

Answer 5

right now i have [(1/3)x^3+x]-[11x-(1/3)x^3] for the two integrals

Answer 6

only do half of it; then double your answer

Answer 7

what am i doing half of?

Answer 8

instead of integrating from -sqrt(5) to sqrt(5), integrate from 0 to sqrt(5) and then double your answer
this is due to symmetry of parabolas

Answer 9

you have already done the integration just evaluate at sqrt(5) into what you posted above

Answer 10

okay, thank you =)

Answer 11

your welcome